247525080 has 256 divisors, whose sum is σ = 875888640. Its totient is φ = 55334400.

The previous prime is 247525073. The next prime is 247525093. The reversal of 247525080 is 80525742.

It is a super-2 number, since 2×247525080² = 122537330458012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 941029 + ... + 941291.

It is an arithmetic number, because the mean of its divisors is an integer number (3421440).

Almost surely, 2^247525080 is an apocalyptic number.

247525080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 247525080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437944320).

247525080 is an abundant number, since it is smaller than the sum of its proper divisors (628363560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247525080 is a wasteful number, since it uses less digits than its factorization.

247525080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 247525080 is about 15732.9297970848. The cubic root of 247525080 is about 627.8748246056.

The spelling of 247525080 in words is "two hundred forty-seven million, five hundred twenty-five thousand, eighty".